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Finding the Fourth Proportional to 64,802.30, 89,432.49 and 36,509.90

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Solution

The fourth proportional to 64,802.30, 89,432.49 and 36,509.90 is: 50,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,802.30 : 89,432.49 = 36,509.90 : x
  2. Step 2: Convert to fraction form
    64,802.30/89,432.49 = 36,509.90/x
  3. Step 3: Cross multiply
    64,802.30x = 89,432.49 × 36,509.90
  4. Step 4: Simplify right side
    64,802.30x = 3,265,171,266.65
  5. Step 5: Solve for x
    x = 3,265,171,266.65/64,802.30
  6. Step 6: Final answer
    x = 50,386.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.